A01-Questions

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University of Toronto *

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304

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Mechanical Engineering

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Feb 20, 2024

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University of Toronto Department of Mechanical and Industrial Engineering MIE304/364: Intro to Quality Control and Improvement (Winter 2024) Page 1 of 2 Assignment 1 Due: Friday, January 26, 2024, at 11:59 pm Please submit your answer as one Jupyter file on Quercus Please post your questions on Piazza 1. Considering the quality costs associated with the production processes in a multinational manufacturing company that produces electronic devices, identify, and discuss the various quality costs for prevention, appraisal, and internal and external failure. 2. A multinational manufacturing company that produces electronic devices has the following cost information available (per 10 devices): material, $200; direct labor, $120; energy, $80; overhead, 35% of the material, direct labor, and the energy costs. The current process yield rate is 92%. 2.1. Calculate the cost per device of acceptable product. 2.2. After implementing process improvements, the yield rate increases to 97%. Determine the cost per device of conforming product and the percentage increase in capacity. 2.3. The logistic team finds new suppliers, which reduced the material cost by 12%, and the process engineers added further enhancements in the production process resulting in a 10% reduction in direct labor costs and a 15% reduction in energy costs. Calculate the new cost per device of conforming product and the percentage reduction in cost. 3. In a multinational electronic device manufacturing company, data from the previous year reveal different types of defects, along with the total cost associated with rectifying each type of defect. The details are presented in the table below. Defect Types Total Cost ($) Circuitry Issues 12,000 Display Malfunction 8,000 Battery Problems 6,000 Software (SW) Bugs 10,000 Connectivity Errors 5,000 Others 5.500
University of Toronto Department of Mechanical and Industrial Engineering MIE304/364: Intro to Quality Control and Improvement (Winter 2024) Page 2 of 2 3.1. Using Python and the provided data, construct a Pareto chart, and discuss the outcomes. Identify the defects that contribute the most to the overall cost of rectification. 3.2. If the management has a monthly allocation of $2,000 for defect rectification, which areas should they focus on based on the Pareto chart? Provide recommendations for addressing the most critical defect types within the budget constraints ( We encourage you to use Python ). 4. An electronics retailer is interested in determining whether the price of electronic devices is linearly influenced by the number of features they offer. A randomly chosen sample of size 30 different electronic devices produced the dataset ‘A1 data’. 4.1. Using Python and the provided data, draw a scatterplot. 4.2. Based on the scatterplot, what conclusions can you draw regarding the relationship between the number of features and the price of electronic devices? Answer the following questions (Python is optional. However, you may find the Scipy Stats documentation helpful in case you decide to use Python) 5. What is the probability of seeing 5 heads in 10 tosses of a fair coin? 6. What is the probability of seeing 3 failures in 10 runs of a process, if the probability of success on a single run is 90%? 7. What is the probability of 5 successes before a failure, if the probability of success is 0.95? 8. What is the probability of one defective item in a sample of 3, if altogether there are 5 defectives in a population of 20? 9. What is the probability of 5 defects in one m 2 of material, if on average there are 3.2 defects per m 2 ? 10. What is the probability that there will be someone taller than 182.88 cm on the commute bus, given that the commuting population height is normally distributed with mean 175.1 cm and standard deviation 7.42 cm?
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